2171317511 has 16 divisors (see below), whose sum is σ = 2495802240. Its totient is φ = 1868217120.

The previous prime is 2171317459. The next prime is 2171317513. The reversal of 2171317511 is 1157131712.

It is not a de Polignac number, because 2171317511 - 2¹⁰ = 2171316487 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2171317513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238601 + ... + 247533.

It is an arithmetic number, because the mean of its divisors is an integer number (155987640).

Almost surely, 2^2171317511 is an apocalyptic number.

2171317511 is a deficient number, since it is larger than the sum of its proper divisors (324484729).

2171317511 is a wasteful number, since it uses less digits than its factorization.

2171317511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10126.

The product of its digits is 1470, while the sum is 29.

The square root of 2171317511 is about 46597.3981140578. The cubic root of 2171317511 is about 1294.9145525827.

The spelling of 2171317511 in words is "two billion, one hundred seventy-one million, three hundred seventeen thousand, five hundred eleven".